Effective thermo-viscoelastic behavior of short fiber reinforced thermo-rheologically simple polymers: An application to high temperature fiber reinforced additive manufacturing
Analytical homogenization; Full-field FFT homogenization; Reinforced polymers; Thermo-viscoelasticity; Fibre-reinforced; High-temperature fibers; matrix; Simple++; Thermo-viscoelastic; Thermoviscoelasticity; Viscoelastic behaviors; Materials Science (all); Mechanics of Materials; Mechanical Engineering; Physics and Astronomy (all); General Physics and Astronomy; General Materials Science
Abstract :
[en] This paper presents a procedure for the estimation of the effective thermo-viscoelastic behavior in fiber-reinforced polymer filaments used in high temperature fiber-reinforced additive manufacturing (HT-FRAM). The filament is an amorphous polymer matrix (PEI) reinforced with elastic short glass fibers treated as a single polymer composite (SPC) holding the assumption of thermo-rheologically simple matrix. Effective thermo-viscoelastic behavior is obtained by implementing mean-field homogenization schemes through the extension of the correspondence principle to continuous variations of temperature by using the time–temperature superposition principle and the internal time technique. The state of the fibers in the composite is described through the use of probability distribution functions. Explicit forms of the effective properties are obtained from an identification step, ensuring the same mathematical structure as the matrix behavior. The benchmark simulations are predictions of residual stress resulting from the cooling of the representative elementary volumes (REVs) characterizing the composite filament. The computation of the averaged stress in the benchmarking examples is achieved by solving numerically the stress–strain problem via the internal variables’ framework. Reference solutions are obtained from Fast Fourier Transform based full-field homogenization simulations. A comparative analysis is performed, showing the reliability of the proposed homogenization procedure to predict residual stress against extensive computations of the macroscopic behavior of a given microstructure.
SUAREZ AFANADOR, Camilo Andrés ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPASYS
Cornaggia, R.; Sorbonne Université, CNRS, UMR 7190, Institut Jean Le Rond d'Alembert, Paris, France
Lahellec, N.; Aix-Marseille Université, LMA-CNRS, Centrale Marseille, Marseille, France
Maurel-Pantel, A.; Aix-Marseille Université, LMA-CNRS, Centrale Marseille, Marseille, France
Boussaa, D.; Aix-Marseille Université, LMA-CNRS, Centrale Marseille, Marseille, France
Moulinec, H.; Aix-Marseille Université, LMA-CNRS, Centrale Marseille, Marseille, France
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
External co-authors :
yes
Language :
English
Title :
Effective thermo-viscoelastic behavior of short fiber reinforced thermo-rheologically simple polymers: An application to high temperature fiber reinforced additive manufacturing
This document is part of a Ph.D. research project funded by the French Ministry of Higher Education, Research and Innovation.This study was supported in part by DGA-RAPID (DGA-2103404513) through the SPRING project with a postdoctoral fellow-ship for R. Cornaggia at the laboratory of mechanics and acoustics of Marseille (LMA). All authors approved the final version of the manuscript.This study was supported in part by DGA-RAPID ( DGA-2103404513 ) through the SPRING project with a postdoctoral fellow-ship for R. Cornaggia at the laboratory of mechanics and acoustics of Marseille (LMA). All authors approved the final version of the manuscript.This document is part of a Ph.D. research project funded by the French Ministry of Higher Education, Research and Innovation .
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